10257842940 has 48 divisors (see below), whose sum is σ = 28727986560. Its totient is φ = 2734850880.

The previous prime is 10257842939. The next prime is 10257842953. The reversal of 10257842940 is 4924875201.

10257842940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10257842892 and 10257842901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324435 + ... + 354645.

It is an arithmetic number, because the mean of its divisors is an integer number (598499720).

Almost surely, 2^10257842940 is an apocalyptic number.

10257842940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10257842940 is an abundant number, since it is smaller than the sum of its proper divisors (18470143620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10257842940 is a wasteful number, since it uses less digits than its factorization.

10257842940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35882 (or 35880 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 10257842940 in words is "ten billion, two hundred fifty-seven million, eight hundred forty-two thousand, nine hundred forty".